TY  - GEN
AU  - Nekorkin,Vladimir I.
TI  - Introduction to nonlinear oscillations
SN  - 9783527413300
U1  - 531.32 23
PY  - 2015///
CY  - Weinheim
PB  - Wiley-VCH
KW  - Nonlinear oscillations
N1  - Includes bibliographical references and index; 1. Introduction to the Theory of Oscillations --
2. One-Dimensional Dynamics --
3. Stability of Equilibria. A Classification of Equilibria of 
Two-Dimensional Linear Systems --
4. Analysis of the Stability of Equilibria of Multidimensional Nonlinear Systems --
5. Linear and Nonlinear Oscillators --
6. Basic Properties of Maps --
7. Limit Cycles --
8. Basic Bifurcations of Equilibria in the Plane --
9. Bifurcations of Limit Cycles. Saddle Homoclinic Bifurcation --
10. The Saddle-Node Homoclinic Bifurcation. Dynamics of Slow-Fast Systems in the Plane --
11. Dynamics of a Superconducting Josephson Junction --
12. The Van der Pol Method. Self-Sustained Oscillations and Truncated Systems --
13. Forced Oscillations of a Linear Oscillator --
14. Forced Oscillations in Weakly Nonlinear Systems with One Degree of Freedom --
15. Forced Synchronization of a Self-Oscillatory System with a Periodic External Force --
16. Parametric Oscillations --
17. Answers to Selected Exercises
N2  - The text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications
ER  -